Asymptotically Gaussian distribution for random perturbations of rotations of the circle

DOI10.1007/BF02175827zbMath0954.60017OpenAlexW1983302084MaRDI QIDQ1966344

Mikhaĭl Iosifovich Gordin, Manfred Denker

Publication date: 7 March 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02175827

zbMATH Keywords

functional central limit theoremcentral limit theoremrandom perturbationsmartingale approximationsquare-integrable functionergodic martingale differencesHamiltonian single-frequency system

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Cites Work

• Ergodic properties of a class of skew-systems obtained by coupling the translation of the 1-torus with the endomorphism 2x mod (0,1(
• Ergodic properties of a one-parameter family of skew-products
• Automorphisms of the Bernoulli endomorphism and a class of skew-products
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